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Angle and absolute value of complex numbers

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Now Playing:Angle and absolute value of complex numbers – Example 1a
Examples
  1. Given the complex number z=2+3iz=2+3i
    1. Find its absolute value

    2. Find the angle it makes in the complex plane in radians

Practice
Angle And Absolute Value Of Complex Numbers 1a
Introduction to imaginary numbers
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Notes
There are times when we are interested in obtaining a better understanding of the properties of a complex number, such as its argument and modulus. In this section, we will learn how to calculate the argument, also known as the angle, and the modulus, also known as the magnitude or the absolute value, of a complex number.
Notes:

Magnitude = modulus = absolute value
∣z∣=a2+b2 |z|= \sqrt{a^2+b^2}

Argument = angle
arg(z)=θ arg(z)=\theta